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Julli [10]
3 years ago
13

The ellipse is centered at the origin and has a horizontal axis of length 26 and a vertical axis of length 12. What is it's equa

tion ?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0
Notice the picture below

notice the "a" component, is just half of the major axis
and the "b" component, is just half of the minor axis
notice what the h,k coordinates are

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PLEASE ANSWER ASAP!!!!
Arlecino [84]

We'll use the notation \textrm{Arcsin } x for the principal value and \arcsin x for all the values:


\arcsin x = \textrm{Arcsin } x + 2\pi k \textrm{ or } (\pi - \textrm{Arcsin }x) + 2\pi k \quad \textrm{ integer } k


Part I


\sin(\theta/2) = \frac 1 2


\theta/2 = \arcsin \frac 1 2


Part II. In our range we can write


\sin(\theta/2) = \sin(\frac \pi 6)


\theta/2 = \frac \pi 6 \textrm{   or   } \theta /2 = \pi - \frac \pi 6 = \frac{5\pi}{6}


Part III.


\theta = \frac \pi 3 \textrm{   or   } \theta = \frac{5\pi}{3}


Part IV.


\theta/2 = \frac \pi 6 + 2\pi k \textrm{ or } \theta = \frac{5 \pi}{6} + 2\pi k \quad \textrm{integer } k

\theta = \frac \pi 3 + 4 \pi k \textrm{   or   } \theta = \frac{5 \pi}{3} + 4\pi k  \quad \textrm{integer } k



5 0
3 years ago
The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.
Alexus [3.1K]

The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.

<h3>Lateral surface area of a cone</h3>

The formula for the lateral surface area of a cone is described as follows:

Lateral area = πrl

where

  • r = base radius
  • l = slant height

Therefore,

Lateral area = 19.2π inches²

r = 2.4 inches

Lateral area = π × 2.4 × l

19.2π = 2.4πl

divide both sides by 2.4π

l = 19.2π / 2.4π

l = 8 inches

learn more on cone here: brainly.com/question/27170515

5 0
2 years ago
Help answer both plz!
Sphinxa [80]

Answer:

3.6666 (I didn't round)

Repeating decimal

Step-by-step explanation:

We know that

2/3

is the same as

2÷3

Therefore:

3 2/3 = 3+(2÷3) = 3 + 0.6666 =3.6666

A repeating decimal is one that keeps going and repeats a pattern. This is decimal keeps going and repeats a pattern so it is a repeating decimal.

A terminating decimal is one that terminates or ends. This decimal does not terminate or end. It keeps going.

Hope this helped.

6 0
3 years ago
1.) 2x +y = 3
Vika [28.1K]
Okay I don’t think I have to do it anymore I
3 0
3 years ago
What’s the answer to this
ryzh [129]

Answer:

  see below

Step-by-step explanation:

The graph extends to the left more or less horizontally, approaching the line y=3. The only choice that expresses that is the third one.

7 0
3 years ago
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